JournalsggdVol. 9, No. 1pp. 133–148

Superrigidity in infinite dimension and finite rank via harmonic maps

  • Bruno Duchesne

    Université de Lorraine, CNRS, Vandoeuvre-lès-Nancy, France
Superrigidity in infinite dimension and finite rank via harmonic maps cover
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Abstract

We consider infinite dimensional Riemannian manifolds of nonpositive curvature and finite telescopic dimension. We prove geometric superrigidity for actions of cocompact lattices in semisimple Lie groups of higher rank on theses spaces.

Cite this article

Bruno Duchesne, Superrigidity in infinite dimension and finite rank via harmonic maps. Groups Geom. Dyn. 9 (2015), no. 1, pp. 133–148

DOI 10.4171/GGD/308